Exact solutions of a linear functional differential equation
type: Item
instance of: scholarly article
zbMATH Open document ID: 0989.34052
author: Hongshan Ren
publication date: 2001-07-11T00:00:00Z
full work available at URL: https://eudml.org/doc/49279
full work available at URL: 2001.html
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1614296
zbMATH Keywords: linear functional-differential equation
zbMATH Keywords: fundamental solution
MaRDI profile type: Publication
Recommended article: Exact solutions of iterative functional differential equations
Recommended article: Explicit solutions for linear partial differential equations
Recommended article: Q3159713
Recommended article: Q4660682
Recommended article: Q3338605
Recommended article: Q3797630
Recommended article: Q5752879
Recommended article: Q4696389
Recommended article: Solutions to a class of differential-functional equations
Recommended article: Exact Solutions of Linear Partial Differential Equations with Variable Coefficients
title: Exact solutions of a linear functional differential equation
published in: Applied Mathematics E-Notes
review text: Here, the author presents a summary of some of the results in his book [On the accurate distribution of characteristic roots and stability of linear delay differential systems] for the use of readers who are not familiar with the Chinese language. The results concerning solutions to NEWLINE\[NEWLINEx'(t)+ax(t)+ bx (t-\tau)= 0,\tag{*}NEWLINE\]NEWLINE where \(a,b,\tau\) are constants and \(\tau>0\), through its characteristic equation NEWLINE\[NEWLINE\lambda+ a+be^{-\tau \lambda}=0NEWLINE\]NEWLINE are discussed. The fundamental solution to (*) is given.
description: scientific article; zbMATH DE number 1614296